Are there any projects that can measure the concept similarity between texts?
Doc2Vec

Doc2Vec comes to mind, here's the original publication. The approach has been shown to be very successful for certain NLP-based problems, though I haven't personally used it for a project yet. 

There are a number of implementations of Doc2Vec. If you're using Python, one to look at is gensim. 

Word2Vec

Word2Vec is similar to Doc2Vec and perhaps more in line with what you're looking for. Here's the original publication, and another publication that does a nice job explaining it further. 

Tensorflow has a tutorial for setting up a Word2Vec model. Gensim also has a Word2Vec implementation.